旋转圆柱形声学隐身斗篷：基于微扰方法的求解
Rotating, cylindrical, acoustic invisibility cloak: solution using perturbation method
AI总结：
本研究设计二维圆柱形声学隐身斗篷，利用微扰方法求解旋转条件下的波动方程，发现旋转降低隐身性能，散射随转速增加而增大，微扰法可快速评估旋转分级各向异性流体。
摘要：
变换声学于2000年代中期兴起，开创了超材料设计的新范式。其中最具吸引力的设计之一——隐身斗篷，在航空领域的隐身与降噪应用中具有前景。然而，使该设计适应现实条件的需求已被证明具有挑战性。本研究聚焦于静止二维圆柱形斗篷的设计及其旋转时的性能，这一结果在文献中尚未见报道。研究采用含对流项的线性化运动方程，推导出波动方程，并利用微扰方法和精确数值解得到相应解及散射系数。这些结果用于评估旋转斗篷的性能。结果表明，旋转导致隐身性能下降，随着转速增加观察到更大的散射，在适用范围内两种方法之间具有合理的一致性（误差在5%以内）。微扰方法提供了一种快速、计算成本低的手段来评估旋转的分级各向异性流体。
英文摘要：
Transformation Acoustics emerged in the mid-2000s, initiating a new paradigm of metamaterial designs. One of the most compelling designs, the invisibility cloak, holds promise for stealth and noise reduction applications in aviation. However, adapting this design to meet the demands of realistic conditions has proven challenging. This work focusses on the design of a stationary 2D cylindrical cloak and its performance whilst rotating, a result not yet reported in the literature. The study utilises linearised equations of motion with convective terms. A wave equation is derived, and corresponding solution and scattering coefficient are derived using a perturbation method and exact numerical solution. These results are used to evaluate the performance of the rotating cloak. Results show that rotation causes a reduction in cloaking performance with greater scattering observed for increasing rotational speeds, with a reasonable agreement (within 5%) between methods over the range of applicability. The perturbation method offers a fast, computationally inexpensive means of evaluating a rotating, graded anisotropic fluid.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
